As a loading ramp with height 8 ft. and length 18 ft. is placed next to a truck, the angle between the ramp and the ground is 26.4⁰
Suppose we have a right triangle with an angle A, then:
sin A = opposite side / hypotenuse
Let the opposite side = b and hypotenuse = c, then
sin A = b/c
The given situation can be depicted on the attached picture, where the height is the opposite side and the length of the ramp is the hypotenuse.
Parameters given in the problem:
Opposite side = 8 ft.
hypotenuse = 18 ft
Hence,
sin A = opposite side / hypotenuse
sin A = 8 / 18 = 0.444
A = sin⁻¹(0.444) = 26.4⁰
Please refer to the correct question:
if a loading ramp is placed next to a truck, at a height of 8 feet, and the ramp is 18 feet long, what angle does the ramp make with the ground? round your answer to one decimal place.
Learn more about trigonometry here:
https://brainly.com/question/24571644
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